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Research Article

GENERALIZED KOTHE-TOEPLITZ DUALS OF A NEW CLASS OF SEQUENCE SPACES

M
Mohd Javed Department of Mathematics, Shibli National College, Azamgarh - 276001, Uttar Pradesh, INDIA
S
Seraj Ahemed Khan Department of Mathematics, Shibli National College, Azamgarh - 276001, Uttar Pradesh, INDIA
Volume 21, Issue 3 Pages 139-152 December 30, 2025 1 downloads
Article overview

Abstract

In this paper, we determine the $p\alpha$-duals of certain newly introduced difference sequence spaces, namely $\ell_{\infty}(u,\triangle_{v}^{m},q), c_{0}(u,\triangle_{v}^{m},q),$ and $c(u,\triangle_{v}^{m},q)$. Furthermore, we investigate their topological properties and establish the conditions under which these spaces are perfect.

Keywords and Phrases

Sequence spacesKöthe Toeplitz duals$\alpha$-duals$\eta$-duals.

AMS Subject Classification

46A45, 46B10, 46B45.

Reference information

How to Cite

Mohd Javed, Seraj Ahemed Khan (2025). GENERALIZED KOTHE-TOEPLITZ DUALS OF A NEW CLASS OF SEQUENCE SPACES. South East Asian Journal of Mathematics and Mathematical Sciences, 21(3), 139-152.
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